मराठी

Define Magnifying Power of a Telescope. Write Its Expression.

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प्रश्न

Define magnifying power of a telescope. Write its expression.

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उत्तर

Magnifying power of a telescope is defined as the ratio of the angle subtended at the eye by the image formed at the least distance of distinct vision to the angle subtended at the eye by the object lying at infinity, when seen directly.

The formula for magnifying power is,

Magnifiying power,`M = - f_0/f_e  (1 + f_e/D)`

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2011-2012 (March) Delhi Set 1

संबंधित प्रश्‍न

  1. A giant refracting telescope at an observatory has an objective lens of focal length 15 m. If an eyepiece of focal length 1.0 cm is used, what is the angular magnification of the telescope?
  2. If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens? The diameter of the moon is 3.48 × 106 m, and the radius of lunar orbit is 3.8 × 108 m.

A small telescope has an objective lens of focal length 140 cm and an eyepiece of focal length 5.0 cm. What is the magnifying power of the telescope for viewing distant objects when

  1. the telescope is in normal adjustment (i.e., when the final image is at infinity)?
  2. the final image is formed at the least distance of distinct vision (25 cm)?

  1. For the telescope is in normal adjustment (i.e., when the final image is at infinity)? what is the separation between the objective lens and the eyepiece?
  2. If this telescope is used to view a 100 m tall tower 3 km away, what is the height of the image of the tower formed by the objective lens?
  3. What is the height of the final image of the tower if it is formed at 25 cm?

How is the working of a telescope different from that of a microscope?


Draw a labeled ray diagram of a reflecting telescope. Mention its two advantages over the refracting telescope.


An astronomical telescope is to be designed to have a magnifying power of 50 in normal adjustment. If the length of the tube is 102 cm, find the powers of the objective and the eyepiece.


Read the following paragraph and answer the questions.

A number of optical devices and instruments have been designed and developed such as periscope, binoculars, microscopes and telescopes utilising the reflecting and refracting properties of mirrors, lenses and prisms. Most of them are in common use. Our knowledge about the formation of images by the mirrors and lenses is the basic requirement for understanding the working of these devices.
  1. Why the image formed at infinity is often considered most suitable for viewing. Explain
  2. In modern microscopes, multicomponent lenses are used for both the objective and the eyepiece. Why?
  3. Write two points of difference between a compound microscope and an astronomical telescope
    OR
    Write two distinct advantages of a reflecting type telescope over a refracting type telescope.

With the help of a ray diagram explain the working of a reflecting telescope.


Read the passage given below and answer the question that follows.

There are two types of optical instruments: Microscopes and Telescopes. Microscopes are used to magnify very tiny objects whereas telescopes are used to study distant objects. Both of them deploy convex lenses. In his telescope, Newton used a large parabolic mirror to collect light from the stars and reduce aberrations.
  1. Rohit observed the launch of Chandrayan 3 with the help of an optical instrument. Name the instrument used by him.
  2. State any one advantage of a reflecting telescope over a refracting telescope.
  3. Which instrument is used to study the structure of a virus?
  4. What is the ability of an optical instrument to form enlarged images called?
  5. What is the difference between a compound microscope and an astronomical telescope (refracting type), as far as their lenses are concerned?

Useful Constants & Relations:

1 Charge of a proton e 1.6 × 10-19 C
2 Speed of light in vacuum c 3 × 108 ms-1
    1 u = 931 MeV

A small telescope has an objective of focal length 140 cm and an eye piece of focal length 5.0 cm. The magnifying power of telescope for viewing a distant object?


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